Non-Euclidean Geometry. Br. Joel Baumeyer, FSC Christian Brothers University. The Axiomatic Method of Proof. The axiomatic method is a method of proving that a conclusion is correct. Requirements:
Br. Joel Baumeyer, FSC
Christian Brothers University
0. The meaning of words and symbols used in the discussion must be understood clearly by all involved in the discussion.
1. Certain statements called axioms (or postulates) are accepted without justification.
2. Agreement on certain rules of reasoning (I.e. agreeing on how and when one statement follows another).
*both terms are what is known as equivalence relations
Def: The segment AB is the set whose members are the points A and B and all points that line on the line AB and are between A and B. (A and B are endpoints.)